University official primarily absorbed in study (4)
I believe the answer is:
dean
'university official' is the definition.
(I've seen this before)
'primarily absorbed in study' is the wordplay.
'primarily' says to take the initial letters.
'in' indicates putting letters inside.
'study' becomes 'den' (I've seen this before).
The initial letter of 'absorbed' is 'a'.
'a' placed within 'den' is 'DEAN'.
(Other definitions for dean that I've seen before include "Cathedral cleric" , "Clergyman; narrow valley" , "FILMSTAR" , "Head of e.g. faculty" , "Cathedral dignitary; head of university department" .)